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Color count on facts
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The table shows the shipping costs for items of different values.
Which best describes the strength of the model?
a weak positive correlation
a strong positive correlation
a weak negative correlation
a strong negative correlation
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Answer:
A strong positive correlation
Step-by-step explanation:
Since the dependent variable increases as the independent variable increases, this is a positive correlation.
Plotting these points, we can see that they form a nearly straight line. This makes it a strong correlation.
A strong positive correlation best describes the strength of the given model. So, option B is correct.
What is the correlation coefficient?The correlation coefficient is used to measure the strong relationship between the two variables.
The formula for the correlation coefficient
[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]
We need to calculate the correlation coefficient and then make a conclusion about its value.
Form a table as shown where x is the cost of items and y is the shipping cost. The table becomes
x y XY x² y²
25 5.99 149.8 625 35.9
45 8.99 404.6 2025 80.8
50 8.99 449.5 2500 80.8
70 10.99 769.3 4900 120.8
190 34.96 1773.2 10050 318.3
The formula for the correlation coefficient
[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]
where n=4
[tex]= \frac{ 4(1773.2)-(190)(34.96)} {\sqrt{{[4(10050)-190^2] [4(318.3)-34.96^2]}} }[/tex]
r[tex]=\frac{450}{4100\times51}[/tex]
r = 450 / √209100
r = 450/457.3
r = 0.98409
Thus, The value of r indicates a stronger positive correlation.
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Which graph models the equation -2x + 4y = -8?
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what is 0.279 times 53
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Final answer:
To calculate 0.279 times 53, multiply 279 by 53 and then place the decimal point three places from the right of the product, resulting in 14.787. If rounding to two decimal places, the answer is 14.79.
Explanation:
To find the product of 0.279 times 53, we can follow the usual multiplication process. We multiply as if there were no decimal places, and then we count the total number of decimal places in both numbers to place the decimal in the correct position in the final answer.
0.279 has three decimal places, and 53 has none. After you multiply 279 by 53, count three places from the right of the resulting number to place the decimal point. So, if 279 times 53 equals 14787, then 0.279 times 53 equals 14.787.
Applying the rules of rounding, if we wanted to round the result to two decimal places we would get 14.79 since the third decimal place is a 7 which rounds up the second decimal place from 8 to 9.
how to solve it along with answer please
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f(x) = 5x - 2
So: a =5
tg α = a
tg α = 5
α ≈ 78,5 °
The Temperature in Indianapolis was -4°F at 7 AM the temperature rose 3°F by noon what was the temperature at noon use a number line to find the answer
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Hope this Helps
Determine the correct scientific notation form of the number. 3,708,000,000\
A)
3.708 x 106
B)
3.708 x 109
C)
37.08 x 106
D)
37.08 x 108
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Let's count to the left and stopping at a value that lies between 1 and 10.
When we do so, we stop at 3.708.
Moving to the right creates a POSITIVE exponent of 9.
Answer: 3.708 x 10^9
Choice B
The scientific notation of the given number is 3.708 × [tex]10^9[/tex]. Therefore, option B is the correct answer.
The given number is 3,708,000,000.
What is scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.
Now, 3,708,000,000 can be written in scientific notation as 3.708 × [tex]10^9[/tex].
The scientific notation of the given number is 3.708 × [tex]10^9[/tex]. Therefore, option B is the correct answer.
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24 divided by 689 show work
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___________
24) 689.
One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount y of money you have raised after x miles.
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Another friend gives you an amount per mile -- you will to calculate this value.
After 5 miles, you have raised $13.50 total --
-- Since one friend gave you $10.00, subtract this from the $13.50 to give you the amount by walking the 5 miles
-- $10.00 - $13.50 = $3.50
-- Since you walked 5 miles, divide $3.50 by 5 to give you $0.70 per mile earned.
So, an equation that represents the amount of money earned is: y = $0.70x+$10.00.
This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
The initial amount given is $10, this represents a constant
Now another friends is willing to give an amount which is not fixed, hence it is dependent on the amount if miles we walk
Let this variable amount be x
We have walks 5 miles in total
We have raid is 13.5 total amount
Therefore he expression to represent the total amount we have made is given as
10+5x= 13.50
Let us solve for x
subtract 10 from both sides we have
5x= 13.5-10
5x= 3.50
divide both sides by 5 we have
x = 3.5/5
x= 0.7
Hence our friend gives us $0.7 per mile
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Find a degree 3 polynomial having zeros -8, 1 and 8 and the coefficient of x^3 equal 1
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(x - 8)(x + 8)(x - 1) = 0
The graph below shows the price of different numbers of hats at a store:
A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 13, 26, 39, 52, and 65. Points are shown on ordered pairs 0, 0 and 2, 13 and 4, 26 and 6, 39 and 8, 52. These points are connected by a line. The label on the x-axis is Number of Hats. The title on the y-axis is Price in dollars.
Which equation can be used to determine p, the cost of h hats? (1 point)
h = 6.50p
p = 13h
p = 6.50h
h = 13p
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p=?h
Now we find the slope by using m=(y2-y1)/(x2-x1) and points (2,13), (4,26)
m=(26-13)/(4-2)=13/2=6.5
OR using the proportionality constant since y is a direct variation to x
K=y/x=13/2=6.5
Solution: p=6.5h
p=6.50h yeah ur welcome
Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
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-1
Answer:
B= -1
Step-by-step explanation:
Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height
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The two stacks will be the same height when stacked to a height of 6 inches.
Explanation:To find the shortest height at which two stacks of boxes, one measuring 12 inches tall and the other measuring 18 inches tall, will be the same height, we need to find the least common multiple (LCM) of the two heights. Since 12 and 18 are both divisible by 6, the LCM is 6 inches. Therefore, the two stacks will be the same height when stacked to a height of 6 inches.
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Josh's chicken soup recipe calls for 2 1\2 L of chicken stock. Josh makes 3 1\4 times the recipe for a family reunion. How much chicken stock does Josh use to make soup for the family reunion? Express your answer as a mixed number in the simplest form.
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2 1/2•3 1/4=
2.5•3.25=
8.125 = 8 1/8
8 1/8 is your answer!
Hoped I helped!
Answer:
[tex]8\frac{1}{8}[/tex] L
Step-by-step explanation:
A recipe of chicken soup calls for chicken stocks = [tex]2\frac{1}{2}[/tex] L
Josh makes [tex]3\frac{1}{4}[/tex] times the recipe
= [tex]3\frac{1}{4}[/tex] × [tex]2\frac{1}{2}[/tex]
= [tex]\frac{13}{4}[/tex] × [tex]\frac{5}{2}[/tex]
= [tex]\frac{65}{8}[/tex]
= [tex]8\frac{1}{8}[/tex]
Josh would use [tex]8\frac{1}{8}[/tex] L of chicken stocks.
Evaluate the expression when y = 4. 5 + y + 8 A. 72 B. 21 C. 17 D. 13
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Answer: its c
Step-by-step explanation:
5+4=9 9+8=17
For a given input value q, the function f outputs a value r to satisfy the following equation. 11q-4=3r-6, Write a formula for f(q) in terms of q
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Final answer:
To find the formula for f(q), solve the equation 11q-4=3r-6 for r. The steps include adding 6 to both sides and then dividing by 3, resulting in f(q) = (11q + 2) / 3.
Explanation:
To write a formula for f(q) in terms of q, we need to solve the equation 11q - 4 = 3r - 6 for r, the output of the function f. First, we add 6 to both sides to isolate the terms with r on the right side of the equation:
11q - 4 + 6 = 3r - 6 + 6
11q + 2 = 3r
Next, we divide both sides by 3 to solve for r:
(11q + 2) / 3 = 3r / 3
(11q + 2) / 3 = r
Therefore, the formula for f(q) is:
f(q) = (11q + 2) / 3
b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?
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The mean tax-return preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50.
Round your answers to four decimal places.
a. What is the probability that the mean price
for a sample of 30 H&R Block retail customers is within $8 of
the population mean?
b. What is the probability that the mean price
for a sample of 50 H&R Block retail customers is within $8 of
the population mean?
Part A:
The probability that a sample of size, n, of a normally distributed data with a mean of μ, and standard deviation of σ, is within, a, units of the mean is given by
[tex]2P(X\ \textless \ a)-1=2P\left(z\ \textless \ \frac{a}{\sigma/\sqrt{n}} \right)-1[/tex]
Thus, the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 of the population mean is given by:
[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{30}} \right)-1=2P(z\ \textless \ 0.8764)-1 \\ \\ =2(0.80958)-1=1.61916-1=\bold{0.6192}[/tex]
Part B:
The probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean is given by:
[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{50}} \right)-1=2P(z\ \textless \ 1.131)-1 \\ \\ =2(0.87105)-1=1.7421-1=\bold{0.7421}[/tex]
Part C:
The probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean is given by:
[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{100}} \right)-1=2P(z\ \textless \ 1.6)-1 \\ \\ =2(0.9452)-1=1.8904-1=\bold{0.8904}[/tex]
draw the following scenario using a vertical number line.
mary climbed up a ladder 24 feet to the second story of her house. she then climbed back down
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Final answer:
To draw Mary's ascent and descent on a ladder, create a vertical number line from 0 to 24 feet to signify the height of the second story, then illustrate arrows for the ascent and descent.
Explanation:
To visualize Mary's movement on a ladder, we will draw a vertical number line. Let's assume the bottom of the ladder is at 0 feet. We will draw a number line up to 24 feet to represent the height Mary climbs to reach the second story of her house. Then, since Mary climbed back down, we would show her descent back to 0 feet. Here is how you can draw the scenario:
Start with a vertical line.Mark the bottom as 0 feet (this is where Mary starts and finishes).Mark a point at 24 feet (this is where the second story of her house is).Draw an arrow pointing up from 0 to 24 to represent Mary climbing up.Draw an arrow pointing down from 24 back to 0 to represent Mary climbing down.By following these steps, you will have a clear representation of Mary climbing up and down her ladder on a vertical number line.
Help me plssss understanddddd thisssss pleaseeeee
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[tex]-1 \frac{3}{5} \div (- \frac{2}{3}) [/tex]
Note that
(a) [tex]-1 \frac{3}{5} = - \frac{8}{5} [/tex]
(b) When dividing by a fraction, you may multiply by the reciprocal of the fraction.
(c) When two negative numbers are multiplied together, the result is positive.
Therefore
[tex]-1 \frac{3}{5} \div (- \frac{2}{3} ) \\\\ = - \frac{8}{5} \times (- \frac{2}{3}) \\\\ = \frac{16}{15} [/tex]
As a mixed number,
[tex] \frac{16}{15} = 1 \frac{1}{15} [/tex]
Answer: [tex]1 \frac{1}{15} [/tex]
Our galaxy the Milky Way has a diameter of about 1•^10
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Well this is the answer
The stellar disk of the Milky Way Galaxy is approximately 100,000 light-years (9×1017 km) (6×1017 mi) in diameter, and is considered to be, on average, about 1,000 light-years (9×1015 km) thick. It is estimated to contain at least 200 billion stars and possibly up to 400 billion.
Florida is 65,754.59 square miles what is the area of Florida rounded to the nearest tenth
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The Area of Florida is 65,754.6
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Given that Florida is 65,754.59 square miles
rounding this nearest to tenth will be 65,754.6 square miles
Therefore, Area of Florida is 65,754.6 square miles
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How many times greater is the value 34.3 than the value 3.43? Explain your thinking
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The dimension of a community garden are such that the length is 7 feet shorter than 5 times the width. Which equation models the area, in square feet, of the community garden in terms of its width, w?
a. A=w(5w-7)
b. A=w(7w-5)
c. A=5w(w-7)
d. A=7w(w-5)
Answers
"the length is 7 feet shorter than 5 times the width"
We can write this as:
[tex]l=5w-7[/tex]
We also know that area is width times length:
[tex]A=wl[/tex]
Now we can substitute our expression for [tex]l[/tex]:
[tex]A=wl[/tex]
[tex]A=w(5w-7)[/tex]
And there we go, our answer is 'A'.
Do the fractions 6/7 and 16/25 convert to repeating or terminating decimal numbers
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16/25 can be converted to a terminating decimal number - 0.64.
Answer:
reapeating and terminating
Step-by-step explanation:
Lorraine writes the equation shown.
x² + y - 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents,
A relation and a function
A relation but not function
A function but not a relation
Neither a relation nor a function
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[tex]y=-x^2+15[/tex]
This equation definitely reflect a relation. In addition, if we plug any x-value in for x, we only get one output for y. So this is also a function.
Thus, the right choice is A.
describe the transformation of the parent function f(x)=x^2 to 1/2 (x+1)^2-5
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Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hour The westbound train was traveling 100 miles per hour how long will it take for the two trains to be 396 miles apart?
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80*2=176
220+176=396
So the two trains will take 2.2 hours so that they are 396 miles apart.
write the equation for the transformation of the graph of y=f(x). use the form f(x)=a(x-h)+k. 13. translated 2 units left and 7 units down. 14. translated 5 units right, 2 units up, and stretched by a factor of 3.
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14) f(x) = 3 ( x - 5 ) + 2
The equations of the graph after respective transformations are;
13) f(x) = a(x + 2) - 7
14) f(x) = 3(x - 5) + 2
13) In transformations, when we translate a function to the left, it means we will add the number of units it is translated to the left to f(x).
Thus, if we translate 2 units to the left, then using the form f(x) = a(x - h) + k, we will have;
f(x) = a(x + 2) + k
This is because;
h = horizontal shift
k = the vertical shift
a = the factor of stretch.
Now, we are told that it is translated 7 units down.
Downward translation denotes subtraction. Thus, k = -7 and our final translated function is;
f(x) = a(x + 2) - 7
14) Using the same concept above;
Translation of 5 units to the left means h = -5
Also, translation of 2 units up means that k = +2
Stretching by a factor of 3 means that a = 3.
Thus, from the form; f(x) = a(x + h) + k, we have;
f(x) = 3(x - 5) + 2
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If one-third of a number is greater than five less than twice the number, which of the following is true? x < 3, x > -3, x > -3/5, x < 3/5
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Answer: The correct option is
(A) x < 3.
Step-by-step explanation: Given that one-third of a number is greater than five less than twice the number.
We are to select the inequality that is TRUE.
Let the required number be represented by x.
Then, according to the given information,we have
[tex]\dfrac{1}{3}x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x<15~~~~~~~~~~[\textup{since }-a>-b~~~\Rightarrow a<b]\\\\\Rightarrow x<\dfrac{15}{5}\\\\\Rightarrow x<3.[/tex]
Thus, the true statement is x < 3.
Option (A) is CORRECT.
luci cuts a board that is 3/4 yard long into pieces that are 3/8 yard long how many does she cut
Answers
Answer: She cuts 2 pieces
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Length of the board: 3/4 yard Length of the pieces: 3/8 yardSo, to calculate the number of pieces we have to divide the length of the board (3/4) by the length of each piece (3/8)
Mathematically speaking:
3/4 ÷ 3/8 = (3x8) /(4x3)=24/12= 2 pieces
Feel free to ask for more if needed or if you did not understand something.